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Finding the Third Proportional to 762,531,792.75 and 1,178,306,068.50

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Solution

The third proportional to 762,531,792.75 and 1,178,306,068.50 is: 1,820,783,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,531,792.75 : 1,178,306,068.50 = 1,178,306,068.50 : x
  2. Step 2: Convert to fraction form
    762,531,792.75/1,178,306,068.50 = 1,178,306,068.50/x
  3. Step 3: Cross multiply
    762,531,792.75x = 1,178,306,068.50 × 1,178,306,068.50
  4. Step 4: Simplify right side
    762,531,792.75x = 1,388,405,191,063,926,784
  5. Step 5: Solve for x
    x = 1,388,405,191,063,926,784/762,531,792.75
  6. Step 6: Final answer
    x = 1,820,783,348.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.